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Finding the Fourth Proportional to 1,717.14, 2,369.65 and 931.18

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Solution

The fourth proportional to 1,717.14, 2,369.65 and 931.18 is: 1,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.14 : 2,369.65 = 931.18 : x
  2. Step 2: Convert to fraction form
    1,717.14/2,369.65 = 931.18/x
  3. Step 3: Cross multiply
    1,717.14x = 2,369.65 × 931.18
  4. Step 4: Simplify right side
    1,717.14x = 2,206,577.97
  5. Step 5: Solve for x
    x = 2,206,577.97/1,717.14
  6. Step 6: Final answer
    x = 1,285.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.